The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 13GU137 # Created Tue Apr 1 01:09:29 2025 # Orbit generated from Bernstein formalism # Fitting 38 observations of 38 # Arc: 4.22y # First observation: 2013/03/07 # Last observation: 2017/05/27 Preliminary a, adot, b, bdot, g, gdot: -0.000179 0.024192 0.000001 -0.002105 0.023978 0.000000 # Chi-squared of fit: 21.07 DOF: 70 RMS: 0.13 # Min/Max residuals: -0.49 0.28 # Exact a, adot, b, bdot, g, gdot: 1.495718E-05 2.417564E-02 -1.392419E-06 -2.101356E-03 2.422066E-02 -4.524155E-04 # Covariance matrix: 1.1362E-13 -6.0640E-14 -1.3293E-15 3.3089E-15 4.4220E-14 -4.1019E-13 -6.0640E-14 1.8383E-13 6.4604E-15 -1.5990E-14 6.9996E-14 1.9714E-12 -1.3293E-15 6.4604E-15 6.8767E-14 -3.0187E-14 2.8762E-15 8.2298E-14 3.3089E-15 -1.5990E-14 -3.0187E-14 3.0709E-14 -7.0909E-15 -2.0371E-13 4.4220E-14 6.9996E-14 2.8762E-15 -7.0909E-15 1.1908E-13 8.7085E-13 -4.1019E-13 1.9714E-12 8.2298E-14 -2.0371E-13 8.7085E-13 2.5115E-11 # lat0 lon0 xBary yBary zBary JD0 -0.071876 -142.403125 0.766257 -0.000752 -0.631297 2456359.034468 # Heliocentric elements and errors Epoch: 2456350.5000 = 2013/02/27 Mean Anomaly: 332.79221 +/- 0.134 Argument of Peri: 212.09452 +/- 0.158 Long of Asc Node: 35.73479 +/- 0.000 Inclination: 4.97676 +/- 0.000 Eccentricity: 0.07210033 +/- 0.0001 Semi-Major Axis: 44.73907949 +/- 0.0025 Time of Perihelion: 2464611.2563 +/- 40.6 Perihelion: 41.51337694 +/- 0.0052 Aphelion: 47.96478205 +/- 0.0053 Period (y) 299.2532 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -33.67909423 +/- 0.0005 Ecliptic Y -24.96530043 +/- 0.0004 Ecliptic Z -0.05184034 +/- 0.0000 Ecliptic XDOT 0.00170176 +/- 0.0000 Ecliptic YDOT -0.00213316 +/- 0.0000 Ecliptic ZDOT -0.00023733 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.92314756 +/- 0.0004 Geocenter to KBO 41.28706607 +/- 0.0006 # Hcoef: 7.57
The following table shows the complete astrometric record for 13GU137. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (13GU137) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.53369 14 20 51.896 -14 06 46.87 23.9r 13GU137 568 C~1XRZ 2013 03 07.59012 14 20 51.741 -14 06 46.20 23.5r 13GU137 568 C~1XRZ 2013 03 07.64267 14 20 51.594 -14 06 45.59 23.3r 13GU137 568 C~1XRZ 2013 04 07.39521 14 18 59.757 -13 58 05.48 23.9r 13GU137 568 C~1XRZ 2013 04 07.43903 14 18 59.570 -13 58 04.61 24.3r 13GU137 568 C~1XRZ 2013 04 08.42769 14 18 55.190 -13 57 43.78 23.0r 13GU137 568 C~1XRZ 2013 04 08.47292 14 18 54.983 -13 57 42.60 23.6r 13GU137 568 C~1XRZ 2013 04 09.37434 14 18 51.000 -13 57 23.96 23.5r 13GU137 568 C~1XRZ 2013 04 09.41746 14 18 50.801 -13 57 22.94 23.6r 13GU137 568 C~1XRZ 2013 04 09.46062 14 18 50.607 -13 57 22.17 23.6r 13GU137 568 C~1XRZ 2013 05 11.46227 14 16 21.850 -13 45 30.32 23.9r 13GU137 568 C~1XRZ 2013 05 12.46349 14 16 17.311 -13 45 08.54 24.2r 13GU137 568 C~1XRZ 2013 06 12.35950 14 14 17.593 -13 35 34.17 24.1r 13GU137 568 C~1XRZ 2013 06 12.40439 14 14 17.439 -13 35 33.45 24.0r 13GU137 568 C~1XRZ 2013 07 04.31926 14 13 29.422 -13 31 51.54 24.3r 13GU137 568 C~1XRZ 2013 07 06.32704 14 13 26.952 -13 31 41.16 23.7r 13GU137 568 C~1XRZ 2013 08 02.25463 14 13 28.708 -13 32 18.98 23.9r 13GU137 568 C~1XRZ 2014 02 01.64786 14 26 42.751 -14 42 26.06 23.1r 13GU137 568 C~1XRZ 2014 02 02.64572 14 26 43.274 -14 42 30.27 23.5r 13GU137 568 C~1XRZ 2014 02 03.59026 14 26 43.669 -14 42 33.80 24.1r 13GU137 568 C~1XRZ 2014 02 24.58951 14 26 30.413 -14 42 00.88 23.7r 13GU137 568 C~1XRZ 2014 02 25.57248 14 26 28.803 -14 41 54.65 24.1r 13GU137 568 C~1XRZ 2014 04 04.43905 14 24 30.635 -14 33 10.62 23.1r 13GU137 568 C~1XRZ 2014 04 04.44293 14 24 30.630 -14 33 10.60 23.2r 13GU137 568 C~1XRZ 2014 04 04.47867 14 24 30.468 -14 33 09.94 24.2r 13GU137 568 C~1XRZ 2014 04 04.48274 14 24 30.468 -14 33 09.74 24.6r 13GU137 568 C~1XRZ 2014 04 05.56427 14 24 25.841 -14 32 48.65 23.7r 13GU137 568 C~1XRZ 2014 04 05.56944 14 24 25.819 -14 32 48.50 23.7r 13GU137 568 C~1XRZ 2014 05 22.44598 14 20 50.855 -14 16 01.81 23.5r 13GU137 568 C~1XRZ 2014 05 25.43819 14 20 38.289 -14 15 02.01 24.1r 13GU137 568 C~1XRZ 2014 06 26.33430 14 18 55.567 -14 06 59.47 23.8r 13GU137 568 C~1XRZ 2014 07 18.29682 14 18 29.566 -14 05 08.56 24.2r 13GU137 568 C~1XRZ 2014 07 18.30122 14 18 29.569 -14 05 08.55 23.7r 13GU137 568 C~1XRZ 2016 05 29.19813 14 30 59.820 -15 21 12.55 23.4R 13GU137 G37 C~2bmo 2016 05 29.26987 14 30 59.528 -15 21 11.33 13GU137 G37 C~2bmo 2017 01 31.64975 14 42 29.147 -16 19 22.05 23.6w 13GU137 568 C~2KOG 2017 02 03.64617 14 42 31.843 -16 19 40.71 13GU137 568 C~2KOG 2017 05 27.33451 14 36 32.025 -15 55 04.40 23.6r 13GU137 568 C~2KOG
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 0.17 0.00 0.00 2 0.0002 -2.35 0.16 -0.10 0.00 3 0.0003 -4.57 0.12 -0.22 -0.03 4 0.0845 -1712.70 -0.05 -38.92 -0.01 5 0.0846 -1715.56 0.09 -38.98 -0.00 6 0.0873 -1782.63 -0.18 -40.14 0.07 7 0.0874 -1785.86 -0.30 -40.01 0.28 8 0.0899 -1846.75 0.06 -41.35 0.01 9 0.0900 -1849.82 -0.02 -41.33 0.10 10 0.0901 -1852.74 0.06 -41.53 -0.02 11 0.1778 -4133.29 -0.01 -80.20 -0.06 12 0.1805 -4202.93 -0.02 -81.42 -0.12 13 0.2651 -6040.73 0.10 -116.02 0.02 14 0.2652 -6043.09 -0.14 -116.09 0.01 15 0.3252 -6777.94 0.07 -139.13 0.13 16 0.3307 -6815.40 -0.08 -141.31 0.03 17 0.4044 -6778.64 0.02 -168.48 0.01 18 0.9065 5515.87 -0.19 -384.07 0.25 19 0.9093 5524.42 0.01 -385.65 0.12 20 0.9119 5530.98 -0.00 -387.16 -0.05 21 0.9694 5338.07 -0.02 -417.33 0.11 22 0.9720 5313.92 0.19 -418.89 -0.03 23 1.0757 3520.51 -0.26 -471.64 -0.14 24 1.0757 3520.44 -0.08 -471.65 -0.14 25 1.0758 3518.00 -0.17 -471.78 -0.20 26 1.0758 3517.93 0.04 -471.59 -0.01 27 1.0788 3447.52 0.05 -473.20 -0.16 28 1.0788 3447.17 0.05 -473.16 -0.11 29 1.2072 166.03 0.24 -529.74 -0.49 30 1.2153 -26.17 0.27 -532.58 -0.14 31 1.3027 -1595.76 -0.03 -563.52 0.03 32 1.3628 -1989.53 -0.11 -582.46 0.17 33 1.3628 -1989.49 -0.05 -582.44 0.19 34 3.2270 9791.19 -0.09 -1412.67 0.16 35 3.2272 9786.78 0.06 -1412.84 0.08 36 3.9045 20388.55 0.04 -1672.90 0.01 37 3.9127 20431.60 -0.05 -1679.04 -0.14 38 4.2212 15003.19 0.06 -1852.01 0.07
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
13GU137 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.570 44.577 44.562 ecceobj 0.070 0.070 0.070 incobj 4.986 4.986 4.986 qmin 41.024 40.975 41.018 qmax 49.049 49.052 49.056 amean 44.908 44.910 44.898 amin 44.551 44.549 44.538 amax 45.282 45.285 45.279 emean 0.070 0.070 0.070 emin 0.056 0.056 0.056 emax 0.083 0.083 0.084 imean 4.270 4.271 4.271 imin 3.754 3.755 3.753 imax 4.763 4.755 4.765 excite_mean 0.102 0.102 0.102 fracstop 1.000 1.000 1.000 cjmean 3.100 3.100 3.100 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 183.7 184.4 183.8 kozaiamp 180.0 179.9 180.0